- #1

chill_factor

- 903

- 5

## Homework Statement

An excited atomic state has a lifetime of 1 ms.

What is the uncertainty in its energy?

The photon emitted during its decay is 550 nm in wavelength. What is the uncertainty and fractional uncertainty in its wavelength?

## Homework Equations

ΔEΔt≥hbar/2

## The Attempt at a Solution

a. Straightforward plugging into the equation.

ΔE = hbar/(2Δt) = 5.25x10^-32

b. Use ΔE=hΔf to find the frequency.

Δf = 79.6 s^-1

if I were to plug this into ΔλΔf=c, it results in a very large Δλ which is unphysical.

Δλ = ?